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2 years ago

The diameter of the circle shown below is 12 . What is the area of the circle?

Mathematics

1 answer:

Diano4ka-milaya [45]2 years ago

8 0

The area of the circle is 113.1 !!

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In a lab experiment, 1900 bacteria are placed in a petri dish. The conditions are such

GREYUIT [131]

Answer:

393 bacteria

Step-by-step explanation:

First find how much it would increase per hours :

1900 / 29 = 65.5172414

Then take this and multiply it by 6 to get :

393.103448

Round it to the nearest whole number to get:

393 bacteria

3 0

2 years ago

A box of Munchkins contains chocolate and glazed donut holes. If Jacob ate 2 chocolate

neonofarm [45]

Answer:

24 munchkins.

Step-by-step explanation:

Let C be the number of chocolate and D be number of glazed donut holes in the original box.

We are told if Jacob ate 2 chocolate munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

$C-2=\frac{1}{11}*(C+D-2)...(1)$

We are also told if he instead added 4 glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:

$C=\frac{1}{7}*(C+D+4)...(2)$

Upon substituting C's value from equation (2) in equation (1) we will get,

$\frac{1}{7}*(C+D+4)-2=\frac{1}{11}*(C+D-2)$

Let us have a common denominator on right side of equation.

$\frac{1}{7}*(C+D+4)-\frac{7*2}{7}=\frac{1}{11}*(C+D-2)$

$\frac{C+D+4-14}{7}=\frac{1}{11}*(C+D-2)$

Multiplying both sides of our equation by 7, we will get,

$7*\frac{C+D-10}{7}=7*\frac{1}{11}*(C+D-2)$

$C+D-10=\frac{7}{11}*(C+D-2)$

Multiplying both sides of our equation by 11, we will get,

$11*(C+D-10)=11*\frac{7}{11}*(C+D-2)$

$11*(C+D-10)=7*(C+D-2)$

$11C+11D-110=7C+7D-14$

$11C-7C+11D-7D=-14+110$

$4C+4D=96$

$4(C+D)=96$

$(C+D)=\frac{96}{4}$

$(C+D)=24$

Therefore, the total number of Munchkins in original box is 24.

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2 years ago

Rectangle WXYZ with height h and width w is rotated 360° about segment WY. Which choice gives the solid formed and its surface a

inna [77]

Answer:

Cylinder, A = 2π • w • h + 2π • w to the second power square units

Step-by-step explanation:

A right circular hollow cylinder is a 3D region enclosed by two right circular cylinders having the same axis and two parallel annular bases perpendicular to the cylinders' common axis which will be formed when you rotate the given by 360 degrees.

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2 years ago

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Select the line that is equivalent to 5x +2y=6.

oksano4ka [1.4K]

Answer: It will be C, 5x + 2y = 6 is equivalent to y = -5/2x + 3

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2 years ago

An English class consists of twenty students, and four are to be chosen to give speeches in a school competition.

NemiM [27]

A)If the order of the speakers is important, we have 20x19x18x17, or 116,280 different options.
b) If order is not important, then we have 20 choose 4, or 4845 different slates. ☺☺☺☺

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2 years ago

​The diameter of the circle shown below is 12 . What is the area of the circle?

The diameter of the circle shown below is 12 . What is the area of the circle?